{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampled MTF\n",
    "\n",
    "This functionality provides the means to compute the MTF at target frequencies and is significantly faster than the FFT-based approach."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.mtf import SampledMTF\n",
    "from optiland.samples.objectives import TessarLens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = TessarLens()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fx: 0 cycles/mm, fy: 50 cycles/mm, MTF: 84.3%\n",
      "fx: 100 cycles/mm, fy: 0 cycles/mm, MTF: 68.7%\n",
      "fx: 150 cycles/mm, fy: 95 cycles/mm, MTF: 46.0%\n"
     ]
    }
   ],
   "source": [
    "sampled_mtf = SampledMTF(lens, field=(0, 0), wavelength=0.55, num_rays=128)\n",
    "\n",
    "frequencies = [(0, 50), (100, 0), (150, 95)]\n",
    "mtf = sampled_mtf.calculate_mtf(frequencies=frequencies)\n",
    "\n",
    "for (fx, fy), value in zip(frequencies, mtf):\n",
    "    print(f\"fx: {fx} cycles/mm, fy: {fy} cycles/mm, MTF: {value * 100:.1f}%\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
